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To find the sum of the expressions \((4p - 2p^2 + 8) + (5p^2 + 2p) + (7 - 3p)\), we can combine like terms.
1. Start by grouping the like terms:
- \(p^2\) terms: \(-2p^2 + 5p^2 = 3p^2\)
- \(p\) terms: \(4p + 2p - 3p = 3p\)
- Constant terms: \(8 + 7 = 15\)
2. Now, combine the results:
- The \(p^2\) term totals to \(3p^2\)
- The \(p\) term totals to \(3p\)
- The constant term totals to \(15\)
Thus, the combined expression is:
\[
3p^2 + 3p + 15
\]
So, the correct response is:
**3p² + 3p + 15**.